Analytical study on a Duffing-harmonic oscillator

被引：28

作者：

Tiwari, SB

Rao, BN ^{[1
]}

Swamy, NS

Sai, KS

Nataraja, HR

机构：

[1] Vikram Sarabhai Space Ctr, Struct Anal & Testing Grp, Trivandrum 695022, Kerala, India

[2] Vivekananda Inst Technol, Dept Comp Sci & Engn, Bangalore 560074, Karnataka, India

[3] SVH Coll Engn, Dept Math, Machilipatnam 521002, India

[4] CV Raman Nagar, Compressor Grp, Gas Turbine Res Estab, Bangalore 560093, Karnataka, India

来源：

JOURNAL OF SOUND AND VIBRATION | 2005年 / 285卷 / 4-5期

关键词：

D O I：

10.1016/j.jsv.2004.11.001

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A study on a Duffing-harmonic oscillator was discussed. An approximate frequency-amplitude relation for the equation of motion was analyzed which gave the results close to the exact solution. A periodic solution without numerical integration was also used by applying a rational harmonic balance approximation. It was observed that the restoring force in the equation was the same for both negative and positive amplitudes.

引用

页码：1217 / 1222

页数：6

共 9 条

[1]

ABRAMSON HN, 1908, SHOCK VIBRATION HDB, pCH4

[2]

DAVIS PJ, 1975, METHODS INTEGRATION

[3]

MICKENES RE, 1996, OSCILLATIONS PLANAR

[4] Fourier analysis of a rational harmonic balance approximation for periodic solutions [J].